Title
Joint Markov Blankets in Feature Sets Extracted from Wavelet Packet Decompositions.
Abstract
Since two decades, wavelet packet decompositions have been shown effective as a generic approach to feature extraction from time series and images for the prediction of a target variable. Redundancies exist between the wavelet coefficients and between the energy features that are derived from the wavelet coefficients. We assess these redundancies in wavelet packet decompositions by means of the Markov blanket filtering theory. We introduce the concept of joint Markov blankets. It is shown that joint Markov blankets are a natural extension of Markov blankets, which are defined for single features, to a set of features. We show that these joint Markov blankets exist in feature sets consisting of the wavelet coefficients. Furthermore, we prove that wavelet energy features from the highest frequency resolution level form a joint Markov blanket for all other wavelet energy features. The joint Markov blanket theory indicates that one can expect an increase of classification accuracy with the increase of the frequency resolution level of the energy features.
Year
DOI
Venue
2011
10.3390/e13071403
ENTROPY
Keywords
Field
DocType
feature subset selection,joint Markov blanket,Markov blanket,mutual information,wavelet packet decomposition
Pattern recognition,Markov model,Network packet,Markov chain,Feature extraction,Markov blanket,Artificial intelligence,Mutual information,Wavelet packet decomposition,Mathematics,Wavelet
Journal
Volume
Issue
Citations 
13
7
0
PageRank 
References 
Authors
0.34
31
2
Name
Order
Citations
PageRank
Gert Van Dijck1828.81
Marc M. Van Hulle262269.75